Growing Perfect Decagonal Quasicrystals by Local Rules

Details Growing Perfect Decagonal Quasicrystals by Local Rules Growing Perfect Decagonal Quasicrystals by Local Rules

2007-04-06

arxiv.org/abs/0704.0848v1

Phys. Rev. Lett. 98, 135501 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4pages, 2figures

Scientific paper

A local growth algorithm for a decagonal quasicrystal is presented. We show that a perfect Penrose tiling (PPT) layer can be grown on a decapod tiling layer by a three dimensional (3D) local rule growth. Once a PPT layer begins to form on the upper layer, successive 2D PPT layers can be added on top resulting in a perfect decagonal quasicrystalline structure in bulk with a point defect only on the bottom surface layer. Our growth rule shows that an ideal quasicrystal structure can be constructed by a local growth algorithm in 3D, contrary to the necessity of non-local information for a 2D PPT growth.

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